Mathematics: Given right triangle gyk, what is the value of tan(g)? one-half startfraction startroot 3 endroot over 2 endfraction startfraction 2 startroot 3 endroot over 3 endfraction startroot 3 endroot

1. 20-5x -102. x 6Step-by-step explanation:...

Given right triangle gyk, what is the value of

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07.01.2022

The value of tan(G) in the right triangle GYK Is $\sqrt{3}$

Step-by-step explanation:

Given

Measure of angle at $G=60^{\circ}$

Measure of angle at $Y=30^{\circ}$

Measure of angle at $K=90^{\circ}$

To find:

$\tan (G)=?$

Solution:

In trigonometry we know that

$\tan G=\frac{\sin G}{\cos G}$

$G=60^{\circ}$

So,

$\sin (60)=\frac{\sqrt{3}}{2}$

$\cos (60)=\frac{1}{2}$

Substituting in the formula we have,

$\tan G=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$

$\tan G=\frac{\sqrt{3}}{2} \times \frac{2}{1}$

$\tan G=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$

$\tan G=\sqrt{3}$

Result:

Thus the value of $\tan G=\sqrt{3}$

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